Up-to-constants bounds on the two-point Green’s function for SLE curves. (English) Zbl 1325.60136

Lawler, Gregory F.; Rezaei, Mohammad Abbas

Electron. Commun. Probab. 20, Paper No. 45, 13 p. (2015).

Summary: The Green’s function for the chordal Schramm-Loewner evolution \(\mathrm{SLE}_\kappa\), for \(0 < \kappa < 8\), gives the normalized probability of getting near points. We give up-to-constant bounds for the two-point Green’s function.

MSC:

60J67

Stochastic (Schramm-)Loewner evolution (SLE)

Keywords:

Schramm-Loewner evolution; two-point Green’s function